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Finding the Fourth Proportional to 159,538.64, 220,164.80 and 87,921.20

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Solution

The fourth proportional to 159,538.64, 220,164.80 and 87,921.20 is: 121,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,538.64 : 220,164.80 = 87,921.20 : x
  2. Step 2: Convert to fraction form
    159,538.64/220,164.80 = 87,921.20/x
  3. Step 3: Cross multiply
    159,538.64x = 220,164.80 × 87,921.20
  4. Step 4: Simplify right side
    159,538.64x = 19,357,153,413.76
  5. Step 5: Solve for x
    x = 19,357,153,413.76/159,538.64
  6. Step 6: Final answer
    x = 121,332.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.